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Finding the Fourth Proportional to 535.23, 736.31 and 436.77

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Solution

The fourth proportional to 535.23, 736.31 and 436.77 is: 600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 736.31 = 436.77 : x
  2. Step 2: Convert to fraction form
    535.23/736.31 = 436.77/x
  3. Step 3: Cross multiply
    535.23x = 736.31 × 436.77
  4. Step 4: Simplify right side
    535.23x = 321,595.93
  5. Step 5: Solve for x
    x = 321,595.93/535.23
  6. Step 6: Final answer
    x = 600.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.